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Integral group ring of Rudvalis simple group [PDF]
Ukrainian Mathematical Journal, 2007 Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru .
V. Bovdi, A. Konovalov
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UNIPOTENT GROUP SCHEMES OVER INTEGRAL RINGS
Mathematics of the USSR-Izvestiya, 1974In this paper we study families of unipotent algebraic groups over integral rings. The main results relate to the geometry of such families. In particular, we prove that, under some hypotheses, the space of such a family is isomorphic to an affine space over the base.
Veĭsfeĭler, B. Yu., Dolgachev, I. V.
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Torsion subgroups in the units of the integral group ring of PSL(2, p3)
, 2014We show that for every prime r all r-subgroups in the normalized units of the integral group ring of PSL(2, p3) are isomorphic to subgroups of PSL(2, p3). This answers a question of Hertweck et al. for this series of groups.
A. Bächle, L. Margolis
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Graded Reversibility in Integral Group Rings
Acta Applicandae Mathematicae, 2008A ring is said to be reversible if \(ab=0\) implies \(ba=0\) for ring elements \(a\) and \(b\). Reversible rings were studied by \textit{P. M. Cohn} [Bull. Lond. Math. Soc. 31, No. 6, 641-648 (1999; Zbl 1021.16019)], reversible group rings by \textit{M. Gutan} and \textit{A. Kisielewicz} [J. Algebra 279, No. 1, 280-291 (2004; Zbl 1068.16033)]. Inspired
Li, Yuanlin, Parmenter, M. M.
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